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234141114433401 = 3373162981634519
BaseRepresentation
bin110101001111001100111001…
…111100111111111101111001
31010201000200010211201110222000
4311033030321330333331321
5221142132000243332101
62145550535410451213
7100214065041635340
oct6517147174777571
91121020124643860
10234141114433401
116867176406244a
1222316149593b09
13a085548c20c96
1441b66c1956b57
151c108337cc486
hexd4f339f3ff79

234141114433401 has 64 divisors (see below), whose sum is σ = 409224587673600. Its totient is φ = 129476697393600.

The previous prime is 234141114433397. The next prime is 234141114433433. The reversal of 234141114433401 is 104334411141432.

234141114433401 is a `hidden beast` number, since 2 + 3 + 41 + 41 + 1 + 144 + 33 + 401 = 666.

It is not a de Polignac number, because 234141114433401 - 22 = 234141114433397 is a prime.

It is a super-2 number, since 2×2341411144334012 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (234141114435401) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 368688420 + ... + 369322938.

It is an arithmetic number, because the mean of its divisors is an integer number (6394134182400).

Almost surely, 2234141114433401 is an apocalyptic number.

234141114433401 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

234141114433401 is a deficient number, since it is larger than the sum of its proper divisors (175083473240199).

234141114433401 is a wasteful number, since it uses less digits than its factorization.

234141114433401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697547 (or 697541 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 234141114433401 its reverse (104334411141432), we get a palindrome (338475525574833).

The spelling of 234141114433401 in words is "two hundred thirty-four trillion, one hundred forty-one billion, one hundred fourteen million, four hundred thirty-three thousand, four hundred one".

Divisors: 1 3 7 9 21 27 31 63 93 189 217 279 651 837 1953 5859 62981 188943 440867 566829 634519 1322601 1700487 1903557 1952411 3967803 4441633 5710671 5857233 11903409 13324899 13666877 17132013 17571699 19670089 39974697 41000631 52715097 59010267 119924091 123001893 137690623 177030801 369005679 413071869 531092403 1239215607 3717646821 39962641139 119887923417 279738487973 359663770251 839215463919 1078991310753 1238841875309 2517646391757 3716525625927 7552939175271 8671893127163 11149576877781 26015679381489 33448730633343 78047038144467 234141114433401